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Finding the Fourth Proportional to 506.86, 699.71 and 382.57

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Solution

The fourth proportional to 506.86, 699.71 and 382.57 is: 528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 699.71 = 382.57 : x
  2. Step 2: Convert to fraction form
    506.86/699.71 = 382.57/x
  3. Step 3: Cross multiply
    506.86x = 699.71 × 382.57
  4. Step 4: Simplify right side
    506.86x = 267,688.05
  5. Step 5: Solve for x
    x = 267,688.05/506.86
  6. Step 6: Final answer
    x = 528.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.